What is the Least Common Multiple of 86912 and 86917?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 86912 and 86917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86912 and 86917, than apply into the LCM equation.

GCF(86912,86917) = 1
LCM(86912,86917) = ( 86912 × 86917) / 1
LCM(86912,86917) = 7554130304 / 1
LCM(86912,86917) = 7554130304

Least Common Multiple (LCM) of 86912 and 86917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86912 and 86917. First we will calculate the prime factors of 86912 and 86917.

Prime Factorization of 86912

Prime Factorization of 86917

Now multiplying the highest exponent prime factors to calculate the LCM of 86912 and 86917.

LCM(86912,86917) = 2⁷ × 7¹ × 97¹ × 23¹ × 3779¹
LCM(86912,86917) = 7554130304